A school manager decides to build a new school building in 40 days. He employs 100 men in the beginning and 100 men after 35 days and completes the construction within the stipulated time. If he had not employed the additional men, how many days behind schedule would the school building have been completed?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 5 days.
Men × time = Total work
For starting 35 days, total work done by 100 men = 35 × 100 = 3500
He completed the work in 40 days.
So, after 35 days, he employs 100 more men = 5 × 200 = 1000
Total work = 3500 + 1000 = 4500 units
So, if he does not employ extra men then total time = 4500/100 = 45
extra time = 45 - 40 = 5 days